The 2-torsion in the Farrell–Tate cohomology of PSL 4 ( Z ) , and torsion subcomplex reduction via discrete Morse theory
Abstract
In the present paper, we use an equivariant modification of discrete Morse theory to provide a new implementation of torsion subcomplex reduction for arithmetic groups. This leads both to a simpler algorithm as well as runtime improvements. To demonstrate the technique, we compute the mod 2 Farrell–Tate cohomology of PSL 4 ( Z ) .
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Topological and Geometric Data Analysis
Publication details
- Journal / source
- Journal of Pure and Applied Algebra
- Volume
- 230
- Issue
- 4
- Pages
- 108225–108225
- Publication date
- 13 March 2026
- Language
- EN